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Unformatted text preview: S = xex . Find a solution for the c ﬁeld as a function of x,y , assuming that it is in steady state. ( Hint : you will ﬁnd the equation much easier to solve if you ﬁrst make an educated assumption about the symmetry of the solution. You only need to ﬁnd a valid solution, not necessarily the most general.) 4. The steady state exists despite the fact that the tracer is being continuously added everywhere. How is the budget of tracer mass closed, that is, where is the dye going? 1 Question 3 Prove the identity u · ∇ u = ( ∇ × u ) × u + ∇ ( 1 2  u  2 ) (This is a vector equation with three components; it is suﬃcient to work out one component out of three). Question 4 Kundu & Cohen, Chapter 3, problem 6. Question 5 Kundu & Cohen, Chapter 4, problem 2. NOTE: I will reuse these questions. Please do not share your answers or the class solutions with students from previous or future classes! 2...
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This document was uploaded on 10/18/2011.
 Spring '09

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